Geodesic
Geometrical fundamentals of seismic imaging: realization of contact mappings
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 4, pp. 323-345

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In this paper, a general formulation of the seismic imaging process on the base of ray theory is proposed. Media and wavefields are considered within geometrical seismics: a medium consists of reflectors and refractors, a useful component of the wave field coinciding with basic terms of a ray series. As connections of reflectors and seismic traveltime surfaces belong to a class of contact mappings, the problem of migration is posed as realization of a given contact mapping in a class of wavefield transforms (including the class of pseudodifferential operators. 
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     author = {S. V. Gol'din},
     title = {Geometrical fundamentals of seismic imaging: realization of contact mappings},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {323--345},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_4_a1/}
}
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S. V. Gol'din. Geometrical fundamentals of seismic imaging: realization of contact mappings. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 4, pp. 323-345. http://geodesic.mathdoc.fr/item/SJVM_2003_6_4_a1/